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Finding the Fourth Proportional to 289,340.80, 434,011.20 and 269,065.60

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Solution

The fourth proportional to 289,340.80, 434,011.20 and 269,065.60 is: 403,598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,340.80 : 434,011.20 = 269,065.60 : x
  2. Step 2: Convert to fraction form
    289,340.80/434,011.20 = 269,065.60/x
  3. Step 3: Cross multiply
    289,340.80x = 434,011.20 × 269,065.60
  4. Step 4: Simplify right side
    289,340.80x = 116,777,483,934.72
  5. Step 5: Solve for x
    x = 116,777,483,934.72/289,340.80
  6. Step 6: Final answer
    x = 403,598.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.